Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)
Multiplicity, Wyckoff letter,
Site symmetry | Coordinates |
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| | |
| | (1) x, y, z | (2) -x, -y, z | (3) -y, x, z | (4) y, -x, z | | (5) x + 1/2, -y + 1/2, z + 1/2 | (6) -x + 1/2, y + 1/2, z + 1/2 | (7) -y + 1/2, -x + 1/2, z + 1/2 | (8) y + 1/2, x + 1/2, z + 1/2 |
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I Maximal translationengleiche subgroups
| [2] P411 (75, P4) | 1; 2; 3; 4 |
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| [2] P21c (37, Ccc2) | 1; 2; 7; 8 | a - b, a + b, c
| 0, 1/2, 0
|
| [2] P2n1 (34, Pnn2) | 1; 2; 5; 6 |
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II Maximal klassengleiche subgroups
[3] c' = 3c
| P4nc (104) | <2; 3; 5 + (0, 0, 1)> | a, b, 3c | |
- Series of maximal isomorphic subgroups
[p] c' = pc
| P4nc (104) | <2; 3; 5 + (0, 0, p/2 - 1/2)> | a, b, pc | | | | p > 2
no conjugate subgroups |
|
[p2] a' = pa, b' = pb
| P4nc (104) | <2 + (2u, 2v, 0); 3 + (u + v, -u + v, 0); 5 + (p/2 - 1/2, p/2 - 1/2 + 2v, 0)> | pa, pb, c | u, v, 0 | | | p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups for the prime p |
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I Minimal translationengleiche supergroups
| [2] P4/nnc (126); [2] P4/mnc (128) |
II Minimal non-isomorphic klassengleiche supergroups
- Additional centring translations
| [2] C4cc (103, P4cc); [2] I4mm (107) |
